. Define all special random variables used (except for Hypergeometric distribution and discrete uniform distribution) and declare their corresponding distributions. . If you use a symbol to denote an event, define it before using it. 1. It is known that weights of packs of potato chips produced by a certain factory follow a normal distribution of mean 80 g and standard deviation 0.8 g. (a) (5 points) Suppose that 115 packs of potato chips are randomly chosen. Find the probability that their average weight is at least 7901 g. (b) (10 points) Suppose that 115 packs of potato chips are randomly chosen. Find the probability that at most 57 packs of potato chips weigh at least 7901 g. (c) (10 points) Suppose that 22 packs of potato chips are randomly chosen and let' be the sample variance of their weights. Find positive numbers K, and K, so that P( > K,) = P(s